Let x, y, z be vectors. Let f : R^2 → R be a function. Let r(t) be a vector-valued function. Determine if each of the following is a scalar, vector, or nonsense. No explanation is needed. a. x · y b. (x · y) × z c. [(x · y)z] × y d. r′(t) e. Duf(x, y) f. ∇x

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

Let x, y, z be vectors. Let f : R^2 → R be a function. Let
r(t) be a vector-valued function. Determine if each of the following is a scalar, vector, or nonsense. No explanation is needed.
a. x · y
b. (x · y) × z
c. [(x · y)z] × y
d. r′(t)
e. Duf(x, y)
f. ∇x

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